Finding the Fourth Proportional to 205,896.62, 284,113.41 and 115,257.62
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Solution
The fourth proportional to 205,896.62, 284,113.41 and 115,257.62 is: 159,042.12
Step by Step Solution
- Step 1: Write the proportion equation
205,896.62 : 284,113.41 = 115,257.62 : x - Step 2: Convert to fraction form
205,896.62/284,113.41 = 115,257.62/x - Step 3: Cross multiply
205,896.62x = 284,113.41 × 115,257.62 - Step 4: Simplify right side
205,896.62x = 32,746,234,026.12 - Step 5: Solve for x
x = 32,746,234,026.12/205,896.62 - Step 6: Final answer
x = 159,042.12
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.